A COMPREHENSIVE MODEL FOR CAPILLARY PRESSURE DIFFERENCE ACROSS A DROP/BUBBLE FLOWING THROUGH A CONSTRICTED CAPILLARY

Mingchao Liang (), Junhong Wei, Hongmei Han, Chengguo Fu and Jianjun Liu ()
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Mingchao Liang: School of Mechanical and Electrical Engineering, Henan Institute of Science and Technology, Xinxiang 453003, P. R. China
Junhong Wei: School of Mechanical and Electrical Engineering, Henan Institute of Science and Technology, Xinxiang 453003, P. R. China
Hongmei Han: School of Mechanical and Electrical Engineering, Henan Institute of Science and Technology, Xinxiang 453003, P. R. China
Chengguo Fu: School of Mechanical and Electrical Engineering, Henan Institute of Science and Technology, Xinxiang 453003, P. R. China
Jianjun Liu: School of Geoscience and Technology, Southwest Petroleum University, Chengdu 610500, P. R. China

Surface Review and Letters (SRL), 2015, vol. 22, issue 06, 1-10

Abstract: The capillary pressure is one of the crucial parameters in many science and engineering applications such as composite materials, interface science, chemical engineering, oil exploration, etc. The drop/bubble formation and its mechanisms that affect the permeability of porous media have steadily attracted much attention in the past. When a drop/bubble moves from a larger capillary to a smaller one, it is often obstructed by an additional pressure difference caused by the capillary force. In this paper, a comprehensive model is derived for the capillary pressure difference when a drop/bubble flows through a constricted capillary, i.e. a geometrically constricted passage with an abrupt change in radius. The proposed model is expressed as a function of the smaller capillary radius, pore-throat ratio, contact angle, surface tension and length of the drop/bubble in the smaller capillary. The model predictions are compared with the available experimental data, and good agreement is found between them.

Keywords: Drop/bubble; constriction; capillary pressure; Jiamin effect (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0218625X15500778

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